let G=&h: [0₂1] → Rih has an infinite number derivatives. Then Gis a group under addition. Define f: G G by f(h) = dh=h' Show f is dt a homomorphism and find its and image. let g: [0,1] → R be defined by kernel f" (g) and Show it is a g (t)= t3-3t+4· Find Coset of ker (f).

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A: A=z∈C|Z≤2.π4≤argz≤π2f(z)=z2we know z=reiθ  where r =z,θ=argzz2=r2e2iθ=ρeiφ ,ρ= z2≤4,and…

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A: In order to solve this question we need to make the set of group G by finding x, y and z.

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